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Computing the distribution of the maximum in balls-and-boxes problems with application to clusters of disease cases

We present a rapid method for the exact calculation of the cumulative distribution function of the maximum of multinomially distributed random variables. The method runs in time O(mn), where m is the desired maximum and n is the number of variables. We apply the method to the analysis of two situati...

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Detalhes bibliográficos
Main Authors: Ewens, Warren J., Wilf, Herbert S.
Formato: Artigo
Idioma:Inglês
Publicado em: National Academy of Sciences 2007
Assuntos:
Acesso em linha:https://ncbi.nlm.nih.gov/pmc/articles/PMC2040874/
https://ncbi.nlm.nih.gov/pubmed/17592129
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0704691104
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